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Finding the Fourth Proportional to 419.25, 578.57 and 232.75

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Solution

The fourth proportional to 419.25, 578.57 and 232.75 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.25 : 578.57 = 232.75 : x
  2. Step 2: Convert to fraction form
    419.25/578.57 = 232.75/x
  3. Step 3: Cross multiply
    419.25x = 578.57 × 232.75
  4. Step 4: Simplify right side
    419.25x = 134,659.56
  5. Step 5: Solve for x
    x = 134,659.56/419.25
  6. Step 6: Final answer
    x = 321.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.